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Finding the Fourth Proportional to 8,389.31, 12,583.97 and 2,233.31

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Solution

The fourth proportional to 8,389.31, 12,583.97 and 2,233.31 is: 3,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.31 : 12,583.97 = 2,233.31 : x
  2. Step 2: Convert to fraction form
    8,389.31/12,583.97 = 2,233.31/x
  3. Step 3: Cross multiply
    8,389.31x = 12,583.97 × 2,233.31
  4. Step 4: Simplify right side
    8,389.31x = 28,103,943.08
  5. Step 5: Solve for x
    x = 28,103,943.08/8,389.31
  6. Step 6: Final answer
    x = 3,349.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.